arXiv 1602.014742016-02-06gr-qcastro-ph.COhep-th

探索引力的本质

Exploring the Nature of Gravity

T. Padmanabhan

备注：: Elaborates on the results presented in five recent talks: Keynote address in (i) EmQM15, Vienna, 23-25 Oct, 2015; Plenary talks in (ii) 35th Max Born Symposium - The Planck Scale II, Wroclaw, 7-12 Sept, 2015 and (iii) ICGC-2015, Mohali, 14-16 Dec 2015; Colloquia at (iv) IAP, Paris, 30 Oct 2015 and (v) TIFR, Mumbai, 5 Oct 2015; two figures, 26 pages

摘要：

我澄清了文献中试图联系重力和热力学的各种方法之间的差异。然后，我描述了一个新的观点，基于以下特点：（1）在任何其他物质场的情况下，如果一个常数添加到拉格朗日的引力场方程也应该保持不变，换句话说，引力场方程应该保持不变下的变换$T^a_b \to T^a_b + δ^a_b $（常数）。(2)每一个时空事件都有一定数量（$f$）的微观自由度（“时空原子”）。当测地距离趋于零时，该量$f$与以该事件为中心的等测地曲面的面积度量成比例。时空应该有一个零点长度，这样$f$才能保持有限。(3)动力学是通过极端化时空中所有事件的热密度来确定的。热密度是物质贡献的一部分和时空原子贡献的一部分之和，后者是$L_P^{-4} f$。这种方法的影响进行了讨论。

英文摘要：

I clarify the differences between various approaches in the literature which attempt to link gravity and thermodynamics. I then describe a new perspective based on the following features: (1) As in the case of any other matter field, the gravitational field equations should also remain unchanged if a constant is added to the Lagrangian; in other words, the field equations of gravity should remain invariant under the transformation $T^a_b \to T^a_b + δ^a_b $(constant). (2) Each event of spacetime has a certain number ($f$) of microscopic degrees of freedom (`atoms of spacetime'). This quantity $f$ is proportional to the area measure of an equi-geodesic surface, centered at that event, when the geodesic distance tends to zero. The spacetime should have a zero-point length in order for $f$ to remain finite. (3) The dynamics is determined by extremizing the heat density at all events of the spacetime. The heat density is the sum of a part contributed by matter and a part contributed by the atoms of spacetime, with the latter being $L_P^{-4} f$. The implications of this approach are discussed.

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摘要：

英文摘要：

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